72906552 has 24 divisors (see below), whose sum is σ = 197455440. Its totient is φ = 24302160.

The previous prime is 72906511. The next prime is 72906599. The reversal of 72906552 is 25560927.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506224 + ... + 506367.

It is an arithmetic number, because the mean of its divisors is an integer number (8227310).

Almost surely, 2^72906552 is an apocalyptic number.

72906552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72906552 is an abundant number, since it is smaller than the sum of its proper divisors (124548888).

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

72906552 is a wasteful number, since it uses less digits than its factorization.

72906552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012603 (or 1012596 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 72906552 is about 8538.5333635233. The cubic root of 72906552 is about 417.7555097490.

The spelling of 72906552 in words is "seventy-two million, nine hundred six thousand, five hundred fifty-two".