72587940 has 48 divisors (see below), whose sum is σ = 203660352. Its totient is φ = 19317376.

The previous prime is 72587939. The next prime is 72587941. The reversal of 72587940 is 4978527.

It is an interprime number because it is at equal distance from previous prime (72587939) and next prime (72587941).

It is a junction number, because it is equal to n+sod(n) for n = 72587892 and 72587901.

It is not an unprimeable number, because it can be changed into a prime (72587941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39727 + ... + 41513.

It is an arithmetic number, because the mean of its divisors is an integer number (4242924).

Almost surely, 2^72587940 is an apocalyptic number.

It is an amenable number.

72587940 is an abundant number, since it is smaller than the sum of its proper divisors (131072412).

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

72587940 is a wasteful number, since it uses less digits than its factorization.

72587940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72587940 is about 8519.8556325797. The cubic root of 72587940 is about 417.1460707783.

The spelling of 72587940 in words is "seventy-two million, five hundred eighty-seven thousand, nine hundred forty".