72102516 has 24 divisors (see below), whose sum is σ = 175554624. Its totient is φ = 22989120.

The previous prime is 72102509. The next prime is 72102523. The reversal of 72102516 is 61520127.

It is an interprime number because it is at equal distance from previous prime (72102509) and next prime (72102523).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130345 + ... + 130896.

It is an arithmetic number, because the mean of its divisors is an integer number (7314776).

Almost surely, 2^72102516 is an apocalyptic number.

It is an amenable number.

72102516 is an abundant number, since it is smaller than the sum of its proper divisors (103452108).

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

72102516 is a wasteful number, since it uses less digits than its factorization.

72102516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261271 (or 261269 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 72102516 is about 8491.3200387219. The cubic root of 72102516 is about 416.2141171532.

The spelling of 72102516 in words is "seventy-two million, one hundred two thousand, five hundred sixteen".