72869400 has 72 divisors (see below), whose sum is σ = 244725780. Its totient is φ = 19431360.

The previous prime is 72869383. The next prime is 72869417. The reversal of 72869400 is 496827.

It is an interprime number because it is at equal distance from previous prime (72869383) and next prime (72869417).

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 18442 + ... + 22041.

Almost surely, 2^72869400 is an apocalyptic number.

It is an amenable number.

72869400 is an abundant number, since it is smaller than the sum of its proper divisors (171856380).

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

72869400 is a wasteful number, since it uses less digits than its factorization.

72869400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40505 (or 40493 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72869400 is about 8536.3575370295. The cubic root of 72869400 is about 417.6845372079.

The spelling of 72869400 in words is "seventy-two million, eight hundred sixty-nine thousand, four hundred".