72842932 has 24 divisors (see below), whose sum is σ = 137313792. Its totient is φ = 33712800.

The previous prime is 72842923. The next prime is 72842969. The reversal of 72842932 is 23924827.

It is a junction number, because it is equal to n+sod(n) for n = 72842891 and 72842900.

It is a congruent number.

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, 9919 + ... + 15622.

It is an arithmetic number, because the mean of its divisors is an integer number (5721408).

Almost surely, 2^72842932 is an apocalyptic number.

It is an amenable number.

72842932 is a deficient number, since it is larger than the sum of its proper divisors (64470860).

72842932 is a wasteful number, since it uses less digits than its factorization.

72842932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25599 (or 25597 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 72842932 is about 8534.8070862791. The cubic root of 72842932 is about 417.6339599052.

It can be divided in two parts, 728 and 42932, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 72842932 in words is "seventy-two million, eight hundred forty-two thousand, nine hundred thirty-two".