61475072 has 36 divisors (see below), whose sum is σ = 125724396. Its totient is φ = 29982720.

The previous prime is 61475047. The next prime is 61475081. The reversal of 61475072 is 27057416.

It can be written as a sum of positive squares in 2 ways, for example, as 30294016 + 31181056 = 5504^2 + 5584^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7568 + ... + 13424.

Almost surely, 2^61475072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62862198).

61475072 is an abundant number, since it is smaller than the sum of its proper divisors (64249324).

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

61475072 is an equidigital number, since it uses as much as digits as its factorization.

61475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 61475072 is about 7840.6040583618. The cubic root of 61475072 is about 394.6690000674.

The spelling of 61475072 in words is "sixty-one million, four hundred seventy-five thousand, seventy-two".