72972276 has 48 divisors (see below), whose sum is σ = 183926400. Its totient is φ = 22384512.

The previous prime is 72972271. The next prime is 72972299. The reversal of 72972276 is 67227927.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (72972271) 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, 78945 + ... + 79863.

It is an arithmetic number, because the mean of its divisors is an integer number (3831800).

Almost surely, 2^72972276 is an apocalyptic number.

It is an amenable number.

72972276 is an abundant number, since it is smaller than the sum of its proper divisors (110954124).

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

72972276 is a wasteful number, since it uses less digits than its factorization.

72972276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

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

The square root of 72972276 is about 8542.3811668644. The cubic root of 72972276 is about 417.8810051764.

The spelling of 72972276 in words is "seventy-two million, nine hundred seventy-two thousand, two hundred seventy-six".