72157554 has 160 divisors (see below), whose sum is σ = 206997120. Its totient is φ = 18289152.

The previous prime is 72157523. The next prime is 72157559. The reversal of 72157554 is 45575127.

Its product of digits (49000) is a multiple of the sum of its prime divisors (245).

It is not an unprimeable number, because it can be changed into a prime (72157559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366184 + ... + 366380.

It is an arithmetic number, because the mean of its divisors is an integer number (1293732).

Almost surely, 2^72157554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72157554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103498560).

72157554 is an abundant number, since it is smaller than the sum of its proper divisors (134839566).

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

72157554 is a wasteful number, since it uses less digits than its factorization.

72157554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 72157554 is about 8494.5602593660. The cubic root of 72157554 is about 416.3199930996.

The spelling of 72157554 in words is "seventy-two million, one hundred fifty-seven thousand, five hundred fifty-four".