72329088 has 64 divisors (see below), whose sum is σ = 206917200. Its totient is φ = 22253568.

The previous prime is 72329083. The next prime is 72329093. The reversal of 72329088 is 88092327.

It is an interprime number because it is at equal distance from previous prime (72329083) and next prime (72329093).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72329083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2253 + ... + 12236.

Almost surely, 2^72329088 is an apocalyptic number.

72329088 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72329088 is an abundant number, since it is smaller than the sum of its proper divisors (134588112).

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

72329088 is a wasteful number, since it uses less digits than its factorization.

72329088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14519 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 72329088 is about 8504.6509628556. The cubic root of 72329088 is about 416.6496260409.

The spelling of 72329088 in words is "seventy-two million, three hundred twenty-nine thousand, eighty-eight".