72971954 has 48 divisors (see below), whose sum is σ = 126862848. Its totient is φ = 31416000.

The previous prime is 72971953. The next prime is 72971957. The reversal of 72971954 is 45917927.

72971954 = 282² + 283² + ... + 622².

Its product of digits (158760) is a multiple of the sum of its prime divisors (252).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72971953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532574 + ... + 532710.

It is an arithmetic number, because the mean of its divisors is an integer number (2642976).

Almost surely, 2^72971954 is an apocalyptic number.

72971954 is a deficient number, since it is larger than the sum of its proper divisors (53890894).

72971954 is a wasteful number, since it uses less digits than its factorization.

72971954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its digits is 158760, while the sum is 44.

The square root of 72971954 is about 8542.3623196397. The cubic root of 72971954 is about 417.8803905234.

The spelling of 72971954 in words is "seventy-two million, nine hundred seventy-one thousand, nine hundred fifty-four".