72953376 has 48 divisors (see below), whose sum is σ = 192997728. Its totient is φ = 24128000.

The previous prime is 72953333. The next prime is 72953417. The reversal of 72953376 is 67335927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9676 + ... + 15476.

It is an arithmetic number, because the mean of its divisors is an integer number (4020786).

Almost surely, 2^72953376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72953376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96498864).

72953376 is an abundant number, since it is smaller than the sum of its proper divisors (120044352).

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

72953376 is a wasteful number, since it uses less digits than its factorization.

72953376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5937 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 72953376 is about 8541.2748462978. The cubic root of 72953376 is about 417.8449246566.

The spelling of 72953376 in words is "seventy-two million, nine hundred fifty-three thousand, three hundred seventy-six".