72903840 has 48 divisors (see below), whose sum is σ = 229648608. Its totient is φ = 19440896.

The previous prime is 72903833. The next prime is 72903851. The reversal of 72903840 is 4830927.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75462 + ... + 76421.

It is an arithmetic number, because the mean of its divisors is an integer number (4784346).

Almost surely, 2^72903840 is an apocalyptic number.

It is an amenable number.

72903840 is an abundant number, since it is smaller than the sum of its proper divisors (156744768).

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

72903840 is a wasteful number, since it uses less digits than its factorization.

72903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151901 (or 151893 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72903840 is about 8538.3745525715. The cubic root of 72903840 is about 417.7503297528.

The spelling of 72903840 in words is "seventy-two million, nine hundred three thousand, eight hundred forty".