72947988 has 18 divisors (see below), whose sum is σ = 184396394. Its totient is φ = 24315984.

The previous prime is 72947947. The next prime is 72947989. The reversal of 72947988 is 88974927.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 4588164 = 8268^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72947989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1013131 + ... + 1013202.

Almost surely, 2^72947988 is an apocalyptic number.

It is an amenable number.

72947988 is an abundant number, since it is smaller than the sum of its proper divisors (111448406).

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

72947988 is a wasteful number, since it uses less digits than its factorization.

72947988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026343 (or 2026338 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 72947988 is about 8540.9594308836. The cubic root of 72947988 is about 417.8346377034.

The spelling of 72947988 in words is "seventy-two million, nine hundred forty-seven thousand, nine hundred eighty-eight".