72455760 has 120 divisors (see below), whose sum is σ = 262082184. Its totient is φ = 17832960.

The previous prime is 72455749. The next prime is 72455767. The reversal of 72455760 is 6755427.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 72386064 = 264^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72455767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5490 + ... + 13230.

Almost surely, 2^72455760 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 72455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131041092).

72455760 is an abundant number, since it is smaller than the sum of its proper divisors (189626424).

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

72455760 is a wasteful number, since it uses less digits than its factorization.

72455760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72455760 is about 8512.0949242827. The cubic root of 72455760 is about 416.8927143215.

The spelling of 72455760 in words is "seventy-two million, four hundred fifty-five thousand, seven hundred sixty".