72673740 has 48 divisors (see below), whose sum is σ = 226097760. Its totient is φ = 19379520.

The previous prime is 72673723. The next prime is 72673747. The reversal of 72673740 is 4737627.

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 = 72673695 and 72673704.

It is not an unprimeable number, because it can be changed into a prime (72673747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66751 + ... + 67830.

It is an arithmetic number, because the mean of its divisors is an integer number (4710370).

Almost surely, 2^72673740 is an apocalyptic number.

It is an amenable number.

72673740 is an abundant number, since it is smaller than the sum of its proper divisors (153424020).

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

72673740 is a wasteful number, since it uses less digits than its factorization.

72673740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134599 (or 134591 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 72673740 is about 8524.8894420984. The cubic root of 72673740 is about 417.3103636358.

The spelling of 72673740 in words is "seventy-two million, six hundred seventy-three thousand, seven hundred forty".