72729072 has 60 divisors (see below), whose sum is σ = 219202984. Its totient is φ = 22377600.

The previous prime is 72729061. The next prime is 72729079. The reversal of 72729072 is 27092727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17554 + ... + 21297.

Almost surely, 2^72729072 is an apocalyptic number.

72729072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72729072 is an abundant number, since it is smaller than the sum of its proper divisors (146473912).

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

72729072 is a wasteful number, since it uses less digits than its factorization.

72729072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38878 (or 38869 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72729072 is about 8528.1341452864. The cubic root of 72729072 is about 417.4162467205.

The spelling of 72729072 in words is "seventy-two million, seven hundred twenty-nine thousand, seventy-two".