10611972 has 60 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 3031344.

The previous prime is 10611959. The next prime is 10611973. The reversal of 10611972 is 27911601.

It is a super-2 number, since 2×10611972² = 225227899457568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10611973) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (528528).

Almost surely, 2^10611972 is an apocalyptic number.

10611972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10611972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

10611972 is an abundant number, since it is smaller than the sum of its proper divisors (21099708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10611972 is a wasteful number, since it uses less digits than its factorization.

10611972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 10611972 is about 3257.6021856574. The cubic root of 10611972 is about 219.7515929016.

The spelling of 10611972 in words is "ten million, six hundred eleven thousand, nine hundred seventy-two".