72476040 has 128 divisors (see below), whose sum is σ = 267644160. Its totient is φ = 15289344.

The previous prime is 72476039. The next prime is 72476057. The reversal of 72476040 is 4067427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72475989 and 72476007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7602 + ... + 14238.

It is an arithmetic number, because the mean of its divisors is an integer number (2090970).

Almost surely, 2^72476040 is an apocalyptic number.

72476040 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 72476040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133822080).

72476040 is an abundant number, since it is smaller than the sum of its proper divisors (195168120).

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

72476040 is a wasteful number, since it uses less digits than its factorization.

72476040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72476040 is about 8513.2860870524. The cubic root of 72476040 is about 416.9316060791.

The spelling of 72476040 in words is "seventy-two million, four hundred seventy-six thousand, forty".