75972820 has 48 divisors (see below), whose sum is σ = 198914688. Its totient is φ = 23679360.

The previous prime is 75972817. The next prime is 75972823. The reversal of 75972820 is 2827957.

It is an interprime number because it is at equal distance from previous prime (75972817) and next prime (75972823).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75972823) 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, 23127 + ... + 26206.

It is an arithmetic number, because the mean of its divisors is an integer number (4144056).

Almost surely, 2^75972820 is an apocalyptic number.

75972820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75972820 is an abundant number, since it is smaller than the sum of its proper divisors (122941868).

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

75972820 is a wasteful number, since it uses less digits than its factorization.

75972820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49360 (or 49358 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 75972820 is about 8716.2388677686. The cubic root of 75972820 is about 423.5318569288.

The spelling of 75972820 in words is "seventy-five million, nine hundred seventy-two thousand, eight hundred twenty".