72901556 has 96 divisors (see below), whose sum is σ = 168591360. Its totient is φ = 26780544.

The previous prime is 72901529. The next prime is 72901579. The reversal of 72901556 is 65510927.

It is a super-2 number, since 2×72901556² = 10629273734442272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573965 + ... + 574091.

It is an arithmetic number, because the mean of its divisors is an integer number (1756160).

Almost surely, 2^72901556 is an apocalyptic number.

72901556 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72901556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84295680).

72901556 is an abundant number, since it is smaller than the sum of its proper divisors (95689804).

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

72901556 is a wasteful number, since it uses less digits than its factorization.

72901556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 72901556 is about 8538.2408024136. The cubic root of 72901556 is about 417.7459671490.

The spelling of 72901556 in words is "seventy-two million, nine hundred one thousand, five hundred fifty-six".