72417056 has 24 divisors (see below), whose sum is σ = 150076080. Its totient is φ = 34302528.

The previous prime is 72417049. The next prime is 72417061. The reversal of 72417056 is 65071427.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58946 + ... + 60161.

It is an arithmetic number, because the mean of its divisors is an integer number (6253170).

Almost surely, 2^72417056 is an apocalyptic number.

72417056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72417056 is an abundant number, since it is smaller than the sum of its proper divisors (77659024).

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

72417056 is a wasteful number, since it uses less digits than its factorization.

72417056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119136 (or 119128 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 72417056 is about 8509.8211497070. The cubic root of 72417056 is about 416.8184699849.

The spelling of 72417056 in words is "seventy-two million, four hundred seventeen thousand, fifty-six".