72959040 has 504 divisors, whose sum is σ = 325233792. Its totient is φ = 14837760.

The previous prime is 72959039. The next prime is 72959063. The reversal of 72959040 is 4095927.

72959040 is a `hidden beast` number, since 7 + 29 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72958986 and 72959004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552297 + ... + 1552343.

Almost surely, 2^72959040 is an apocalyptic number.

72959040 is a gapful number since it is divisible by the number (70) 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 72959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616896).

72959040 is an abundant number, since it is smaller than the sum of its proper divisors (252274752).

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

72959040 is a wasteful number, since it uses less digits than its factorization.

72959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72959040 is about 8541.6064062915. The cubic root of 72959040 is about 417.8557380122.

The spelling of 72959040 in words is "seventy-two million, nine hundred fifty-nine thousand, forty".