72676716 has 48 divisors (see below), whose sum is σ = 194557440. Its totient is φ = 20684160.

The previous prime is 72676693. The next prime is 72676739. The reversal of 72676716 is 61767627.

It is an interprime number because it is at equal distance from previous prime (72676693) and next prime (72676739).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 22065 + ... + 25143.

It is an arithmetic number, because the mean of its divisors is an integer number (4053280).

Almost surely, 2^72676716 is an apocalyptic number.

It is an amenable number.

72676716 is an abundant number, since it is smaller than the sum of its proper divisors (121880724).

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

72676716 is a wasteful number, since it uses less digits than its factorization.

72676716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3372 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 72676716 is about 8525.0639880296. The cubic root of 72676716 is about 417.3160598643.

The spelling of 72676716 in words is "seventy-two million, six hundred seventy-six thousand, seven hundred sixteen".