72501690 has 32 divisors (see below), whose sum is σ = 174928896. Its totient is φ = 19231040.

The previous prime is 72501661. The next prime is 72501691. The reversal of 72501690 is 9610527.

It is a super-2 number, since 2×72501690² = 10512990105712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72501691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597 + ... + 12056.

It is an arithmetic number, because the mean of its divisors is an integer number (5466528).

Almost surely, 2^72501690 is an apocalyptic number.

72501690 is an abundant number, since it is smaller than the sum of its proper divisors (102427206).

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

72501690 is a wasteful number, since it uses less digits than its factorization.

72501690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 72501690 is about 8514.7924226020. The cubic root of 72501690 is about 416.9807857084.

The spelling of 72501690 in words is "seventy-two million, five hundred one thousand, six hundred ninety".