72615690 has 112 divisors (see below), whose sum is σ = 224126208. Its totient is φ = 16586208.

The previous prime is 72615689. The next prime is 72615709. The reversal of 72615690 is 9651627.

It is a super-2 number, since 2×72615690² = 10546076868352200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50319 + ... + 51741.

Almost surely, 2^72615690 is an apocalyptic number.

72615690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72615690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112063104).

72615690 is an abundant number, since it is smaller than the sum of its proper divisors (151510518).

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

72615690 is a wasteful number, since it uses less digits than its factorization.

72615690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72615690 is about 8521.4840256847. The cubic root of 72615690 is about 417.1992216123.

The spelling of 72615690 in words is "seventy-two million, six hundred fifteen thousand, six hundred ninety".