72615400 has 96 divisors (see below), whose sum is σ = 198424800. Its totient is φ = 24364800.

The previous prime is 72615379. The next prime is 72615401. The reversal of 72615400 is 451627.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (72615401) 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, 27331 + ... + 29869.

It is an arithmetic number, because the mean of its divisors is an integer number (2066925).

Almost surely, 2^72615400 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 72615400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99212400).

72615400 is an abundant number, since it is smaller than the sum of its proper divisors (125809400).

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

72615400 is a wasteful number, since it uses less digits than its factorization.

72615400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72615400 is about 8521.4670098522. The cubic root of 72615400 is about 417.1986662322.

The spelling of 72615400 in words is "seventy-two million, six hundred fifteen thousand, four hundred".