72200928 has 24 divisors (see below), whose sum is σ = 189527688. Its totient is φ = 24066944.

The previous prime is 72200917. The next prime is 72200929. The reversal of 72200928 is 82900227.

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

It is a super-2 number, since 2×72200928² = 10425948008122368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72200895 and 72200904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72200929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375951 + ... + 376142.

It is an arithmetic number, because the mean of its divisors is an integer number (7896987).

Almost surely, 2^72200928 is an apocalyptic number.

It is an amenable number.

72200928 is an abundant number, since it is smaller than the sum of its proper divisors (117326760).

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

72200928 is a wasteful number, since it uses less digits than its factorization.

72200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752106 (or 752098 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72200928 is about 8497.1129214575. The cubic root of 72200928 is about 416.4033932218.

The spelling of 72200928 in words is "seventy-two million, two hundred thousand, nine hundred twenty-eight".