72801972 has 36 divisors (see below), whose sum is σ = 185725540. Its totient is φ = 24043392.

The previous prime is 72801947. The next prime is 72801979. The reversal of 72801972 is 27910827.

It can be written as a sum of positive squares in 2 ways, for example, as 24860196 + 47941776 = 4986^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5353 + ... + 13200.

Almost surely, 2^72801972 is an apocalyptic number.

It is an amenable number.

72801972 is an abundant number, since it is smaller than the sum of its proper divisors (112923568).

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

72801972 is a wasteful number, since it uses less digits than its factorization.

72801972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18672 (or 18667 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72801972 is about 8532.4071632805. The cubic root of 72801972 is about 417.5556659017. Note that the first 3 decimals are identical.

The spelling of 72801972 in words is "seventy-two million, eight hundred one thousand, nine hundred seventy-two".