72946776 has 64 divisors (see below), whose sum is σ = 219398400. Its totient is φ = 19744128.

The previous prime is 72946771. The next prime is 72946781. The reversal of 72946776 is 67764927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72946771) and next prime (72946781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72946771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8235 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (3428100).

Almost surely, 2^72946776 is an apocalyptic number.

72946776 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72946776 is an abundant number, since it is smaller than the sum of its proper divisors (146451624).

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

72946776 is a wasteful number, since it uses less digits than its factorization.

72946776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22888 (or 22884 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 72946776 is about 8540.8884783727. Note that the first 3 decimals coincide. The cubic root of 72946776 is about 417.8323236420.

The spelling of 72946776 in words is "seventy-two million, nine hundred forty-six thousand, seven hundred seventy-six".