72291800 has 48 divisors (see below), whose sum is σ = 192093360. Its totient is φ = 24785280.

The previous prime is 72291799. The next prime is 72291811. The reversal of 72291800 is 819227.

It is a happy number.

It is a super-2 number, since 2×72291800² = 10452208694480000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 24419 + ... + 27218.

It is an arithmetic number, because the mean of its divisors is an integer number (4001945).

Almost surely, 2^72291800 is an apocalyptic number.

72291800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72291800 is an abundant number, since it is smaller than the sum of its proper divisors (119801560).

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

72291800 is a wasteful number, since it uses less digits than its factorization.

72291800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51660 (or 51651 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 72291800 is about 8502.4584679962. The cubic root of 72291800 is about 416.5780149172.

The spelling of 72291800 in words is "seventy-two million, two hundred ninety-one thousand, eight hundred".