72710940 has 48 divisors (see below), whose sum is σ = 204226848. Its totient is φ = 19329024.

The previous prime is 72710933. The next prime is 72710959. The reversal of 72710940 is 4901727.

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 = 72710898 and 72710907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464 + ... + 22896.

It is an arithmetic number, because the mean of its divisors is an integer number (4254726).

Almost surely, 2^72710940 is an apocalyptic number.

It is an amenable number.

72710940 is an abundant number, since it is smaller than the sum of its proper divisors (131515908).

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

72710940 is a wasteful number, since it uses less digits than its factorization.

72710940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72710940 is about 8527.0710094381. The cubic root of 72710940 is about 417.3815553184.

The spelling of 72710940 in words is "seventy-two million, seven hundred ten thousand, nine hundred forty".