72455460 has 96 divisors (see below), whose sum is σ = 252951552. Its totient is φ = 15054720.

The previous prime is 72455459. The next prime is 72455477. The reversal of 72455460 is 6455427.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3222 + ... + 12461.

It is an arithmetic number, because the mean of its divisors is an integer number (2634912).

Almost surely, 2^72455460 is an apocalyptic number.

72455460 is a gapful number since it is divisible by the number (70) 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 72455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126475776).

72455460 is an abundant number, since it is smaller than the sum of its proper divisors (180496092).

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

72455460 is a wasteful number, since it uses less digits than its factorization.

72455460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 72455460 is about 8512.0773022806. The cubic root of 72455460 is about 416.8921389452.

Subtracting from 72455460 its sum of digits (33), we obtain a palindrome (72455427).

The spelling of 72455460 in words is "seventy-two million, four hundred fifty-five thousand, four hundred sixty".