72988776 has 80 divisors (see below), whose sum is σ = 233655840. Its totient is φ = 20852640.

The previous prime is 72988763. The next prime is 72988777. The reversal of 72988776 is 67788927.

It is a super-2 number, since 2×72988776² = 10654722843956352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72988777) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3510 + ... + 12581.

It is an arithmetic number, because the mean of its divisors is an integer number (2920698).

Almost surely, 2^72988776 is an apocalyptic number.

It is an amenable number.

72988776 is an abundant number, since it is smaller than the sum of its proper divisors (160667064).

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

72988776 is a wasteful number, since it uses less digits than its factorization.

72988776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116 (or 16103 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 72988776 is about 8543.3468851499. The cubic root of 72988776 is about 417.9124989498.

The spelling of 72988776 in words is "seventy-two million, nine hundred eighty-eight thousand, seven hundred seventy-six".