72419688 has 96 divisors (see below), whose sum is σ = 217620000. Its totient is φ = 21571200.

The previous prime is 72419687. The next prime is 72419701. The reversal of 72419688 is 88691427.

It is a super-2 number, since 2×72419688² = 10489222420034688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72419687) 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, 47563 + ... + 49061.

It is an arithmetic number, because the mean of its divisors is an integer number (2266875).

Almost surely, 2^72419688 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 72419688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810000).

72419688 is an abundant number, since it is smaller than the sum of its proper divisors (145200312).

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

72419688 is a wasteful number, since it uses less digits than its factorization.

72419688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 72419688 is about 8509.9757931501. The cubic root of 72419688 is about 416.8235196835.

The spelling of 72419688 in words is "seventy-two million, four hundred nineteen thousand, six hundred eighty-eight".