72354590 has 32 divisors (see below), whose sum is σ = 162376704. Its totient is φ = 22551840.

The previous prime is 72354571. The next prime is 72354613. The reversal of 72354590 is 9545327.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 72354590.

It is a congruent number.

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, 46214 + ... + 47753.

It is an arithmetic number, because the mean of its divisors is an integer number (5074272).

Almost surely, 2^72354590 is an apocalyptic number.

72354590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72354590 is an abundant number, since it is smaller than the sum of its proper divisors (90022114).

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

72354590 is a wasteful number, since it uses less digits than its factorization.

72354590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93992.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 72354590 is about 8506.1501279956. The cubic root of 72354590 is about 416.6985881322.

The spelling of 72354590 in words is "seventy-two million, three hundred fifty-four thousand, five hundred ninety".