72519408 has 160 divisors (see below), whose sum is σ = 230888000. Its totient is φ = 21648384.

The previous prime is 72519389. The next prime is 72519439. The reversal of 72519408 is 80491527.

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

It is a congruent number.

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, 207618 + ... + 207966.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 2^72519408 is an apocalyptic number.

72519408 is a gapful number since it is divisible by the number (78) 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 72519408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115444000).

72519408 is an abundant number, since it is smaller than the sum of its proper divisors (158368592).

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

72519408 is a wasteful number, since it uses less digits than its factorization.

72519408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 72519408 is about 8515.8327837035. The cubic root of 72519408 is about 417.0147502675.

It can be divided in two parts, 72519 and 408, that added together give a palindrome (72927).

The spelling of 72519408 in words is "seventy-two million, five hundred nineteen thousand, four hundred eight".