72326688 has 96 divisors (see below), whose sum is σ = 222114816. Its totient is φ = 20176128.

The previous prime is 72326677. The next prime is 72326699. The reversal of 72326688 is 88662327.

It is an interprime number because it is at equal distance from previous prime (72326677) and next prime (72326699).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72326688² = 10462299594098688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27645 + ... + 30147.

It is an arithmetic number, because the mean of its divisors is an integer number (2313696).

Almost surely, 2^72326688 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 72326688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111057408).

72326688 is an abundant number, since it is smaller than the sum of its proper divisors (149788128).

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

72326688 is a wasteful number, since it uses less digits than its factorization.

72326688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2558 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 72326688 is about 8504.5098624201. The cubic root of 72326688 is about 416.6450176130.

The spelling of 72326688 in words is "seventy-two million, three hundred twenty-six thousand, six hundred eighty-eight".